Question

Solve the following system of equations in R.

$2x+5\le 0,x-3\le 0$

Answer 1

Consider the first inequation,

$2x+5\le 02x\le -5x\le \frac{-5}{2}...\left(i\right)$

Consider the second inequation,

$x-3\le 0x\le 3...\left(ii\right)From\left(i\right)and\left(ii\right),[-\infty ,\frac{-5}{2}]isthesolutionsetofthesimultaneousequations.$